Example 8:Find the roots of the equation 286x2 - 92x - 28 = 0 by the method of completing the square.
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Step-by-step explanation:
Let's solve your equation step-by-step.
286x2−92x−28=0
For this equation: a=286, b=-92, c=-28
286x2+−92x+−28=0
Step 1: Use quadratic formula with a=286, b=-92, c=-28.
x=
−b±√b2−4ac
2a
x=
−(−92)±√(−92)2−4(286)(−28)
2(286)
x=
92±√40496
572
x=
23
143
+
1
143
√2531 or x=
23
143
+
−1
143
√2531
Answer:
x=
23
143
+
1
143
√2531 or x=
23
143
+
−1
143
√2531
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